What is join log_{2}(3t)+log_{2}(5t) ?

The solution to join log_{2}(3t)+log_{2}(5t) is log_{2}(15t^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

join log_{2}(3t)+log_{2}(5t)

join

lo g_{2} (3 t) + lo g_{2} (5 t)

lo g_{2} (15 t^{2})

Solution steps

lo g_{2} (3 t) + lo g_{2} (5 t)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{2} (3 t) + lo g_{2} (5 t) = lo g_{2} (3 \cdot 5 tt)

= lo g_{2} (3 \cdot 5 tt)

Simplify

3 t \cdot 5 t : 15 t^{2}

= lo g_{2} (15 t^{2})

- lo g_{10} (5.5 \cdot 1 0^{- 11})

- lo g_{10} (6.324 \cdot 1 0^{- 6})

ln (\frac{37}{50})

ln (b) + 2 ln (C) - 3 ln (d)

- lo g_{10} (\frac{1}{720})

What is join log_{2}(3t)+log_{2}(5t) ?
The solution to join log_{2}(3t)+log_{2}(5t) is log_{2}(15t^2)